Appointments on specific days of the month (5)
I believe the answer is:
dates
This clue could be a double definition.
'appointments on specific' is the first definition.
'dates' can be an answer for 'appointments' ('date' can be a synonym of 'appointment'). I am not sure about the 'on specific' bit.
'days of the month' is the second definition.
'dates' can be an answer for 'days' (date is a kind of day). I'm unsure of the 'of the month' bit.
Can you help me to learn more?
(Other definitions for dates that I've seen before include "Trysts" , "Fruit - shows its age" , "Particular times" , "Occasions" , "Small tree-fruits or social appointments" .)